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Tau Functions and their Applications

Author: John Harnad

Publisher: Cambridge University Press

Published: 2021-02-04

Total Pages: 549

ISBN-13: 1108637213

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Tau functions are a central tool in the modern theory of integrable systems. This volume provides a thorough introduction, starting from the basics and extending to recent research results. It covers a wide range of applications, including generating functions for solutions of integrable hierarchies, correlation functions in the spectral theory of random matrices and combinatorial generating functions for enumerative geometrical and topological invariants. A self-contained summary of more advanced topics needed to understand the material is provided, as are solutions and hints for the various exercises and problems that are included throughout the text to enrich the subject matter and engage the reader. Building on knowledge of standard topics in undergraduate mathematics and basic concepts and methods of classical and quantum mechanics, this monograph is ideal for graduate students and researchers who wish to become acquainted with the full range of applications of the theory of tau functions.

Book Synopsis Tau Functions and their Applications by : John Harnad

Download or read book Tau Functions and their Applications written by John Harnad and published by Cambridge University Press. This book was released on 2021-02-04 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tau functions are a central tool in the modern theory of integrable systems. This volume provides a thorough introduction, starting from the basics and extending to recent research results. It covers a wide range of applications, including generating functions for solutions of integrable hierarchies, correlation functions in the spectral theory of random matrices and combinatorial generating functions for enumerative geometrical and topological invariants. A self-contained summary of more advanced topics needed to understand the material is provided, as are solutions and hints for the various exercises and problems that are included throughout the text to enrich the subject matter and engage the reader. Building on knowledge of standard topics in undergraduate mathematics and basic concepts and methods of classical and quantum mechanics, this monograph is ideal for graduate students and researchers who wish to become acquainted with the full range of applications of the theory of tau functions.

Random Matrix Models and Their Applications

Author: Pavel Bleher

Publisher: Cambridge University Press

Published: 2001-06-04

Total Pages: 454

ISBN-13: 9780521802093

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Expository articles on random matrix theory emphasizing the exchange of ideas between the physical and mathematical communities.

Book Synopsis Random Matrix Models and Their Applications by : Pavel Bleher

Download or read book Random Matrix Models and Their Applications written by Pavel Bleher and published by Cambridge University Press. This book was released on 2001-06-04 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles on random matrix theory emphasizing the exchange of ideas between the physical and mathematical communities.

Bergmann Tau-function on Hurwith Spaces and Its Applications

Author: A. Kokotov

Publisher:

Published: 2003

Total Pages: 16

ISBN-13:

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Book Synopsis Bergmann Tau-function on Hurwith Spaces and Its Applications by : A. Kokotov

Download or read book Bergmann Tau-function on Hurwith Spaces and Its Applications written by A. Kokotov and published by . This book was released on 2003 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Trends in Operator Theory and its Applications

Author: Joseph A. Ball

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 604

ISBN-13: 3034878818

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Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Book Synopsis Current Trends in Operator Theory and its Applications by : Joseph A. Ball

Download or read book Current Trends in Operator Theory and its Applications written by Joseph A. Ball and published by Birkhäuser. This book was released on 2012-12-06 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Analytical Properties of Nonlinear Partial Differential Equations

Author: Alexei Cheviakov

Publisher: Springer Nature

Published:

Total Pages: 322

ISBN-13: 3031530748

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Book Synopsis Analytical Properties of Nonlinear Partial Differential Equations by : Alexei Cheviakov

Download or read book Analytical Properties of Nonlinear Partial Differential Equations written by Alexei Cheviakov and published by Springer Nature. This book was released on with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Groups and Their Applications in Physics

Author: Leonardo Castellani

Publisher: IOS Press

Published: 1996

Total Pages: 950

ISBN-13: 9789051992472

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This book focuses on quantum groups, i.e., continuous deformations of Lie groups, and their applications in physics. These algebraic structures have been studied in the last decade by a growing number of mathematicians and physicists, and are found to underlie many physical systems of interest. They do provide, in fact, a sort of common algebraic ground for seemingly very different physical problems. As it has happened for supersymmetry, the q-group symmetries are bound to play a vital role in physics, even in fundamental theories like gauge theory or gravity. In fact q-symmetry can be considered itself as a generalization of supersymmetry, evident in the q-commutator formulation. The hope that field theories on q-groups are naturally reguralized begins to appear founded, and opens new perspectives for quantum gravity. The topics covered in this book include: conformal field theories and quantum groups, gauge theories of quantum groups, anyons, differential calculus on quantum groups and non-commutative geometry, poisson algebras, 2-dimensional statistical models, (2+1) quantum gravity, quantum groups and lattice physics, inhomogeneous q-groups, q-Poincaregroup and deformed gravity and gauging of W-algebras.

Book Synopsis Quantum Groups and Their Applications in Physics by : Leonardo Castellani

Download or read book Quantum Groups and Their Applications in Physics written by Leonardo Castellani and published by IOS Press. This book was released on 1996 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on quantum groups, i.e., continuous deformations of Lie groups, and their applications in physics. These algebraic structures have been studied in the last decade by a growing number of mathematicians and physicists, and are found to underlie many physical systems of interest. They do provide, in fact, a sort of common algebraic ground for seemingly very different physical problems. As it has happened for supersymmetry, the q-group symmetries are bound to play a vital role in physics, even in fundamental theories like gauge theory or gravity. In fact q-symmetry can be considered itself as a generalization of supersymmetry, evident in the q-commutator formulation. The hope that field theories on q-groups are naturally reguralized begins to appear founded, and opens new perspectives for quantum gravity. The topics covered in this book include: conformal field theories and quantum groups, gauge theories of quantum groups, anyons, differential calculus on quantum groups and non-commutative geometry, poisson algebras, 2-dimensional statistical models, (2+1) quantum gravity, quantum groups and lattice physics, inhomogeneous q-groups, q-Poincaregroup and deformed gravity and gauging of W-algebras.

Taurine and the Mitochondrion: Applications in the Pharmacotherapy of Human Diseases

Author: Reza Heidari

Publisher: Bentham Science Publishers

Published: 2023-03-31

Total Pages: 344

ISBN-13: 9815124498

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Taurine, or 2aminoethanesulfonic acid, is one of the most abundant sulfurcontaining amino acids in the human body. It is found in the heart, brain, retina, and skeletal muscles, and is synthesized in the pancreas. Studies have revealed that taurine is of high physiological importance: it protects against pathologies associated with mitochondrial diseases, and linked processes like aging, metabolic syndrome, cancer, cardiovascular diseases, and neurological disorders. It is also used as a nutritional supplement. Taurine and the Mitochondrion: Applications in the Pharmacotherapy of Human Diseases explores the significance of taurine in the biology of mitochondria. It also explains its role as a pharmacological agent for treating different diseases. Readers will gain an insight into the crucial role it plays in human physiology and the benefits of taurine supplements. Topics covered in this reference include Synthesis of taurine and its dietary sources The Role of taurine in mitochondrial health Taurine as a neurotransmitter Beneficial effects of taurine in physiological systems such as the reproductive system, renal system, and the gastrointestinal tract Hepatoprotective and antiinflammatory properties of taurine The antiaging promise of taurine supplementation Role of taurine supplementation in obesity

Book Synopsis Taurine and the Mitochondrion: Applications in the Pharmacotherapy of Human Diseases by : Reza Heidari

Download or read book Taurine and the Mitochondrion: Applications in the Pharmacotherapy of Human Diseases written by Reza Heidari and published by Bentham Science Publishers. This book was released on 2023-03-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taurine, or 2aminoethanesulfonic acid, is one of the most abundant sulfurcontaining amino acids in the human body. It is found in the heart, brain, retina, and skeletal muscles, and is synthesized in the pancreas. Studies have revealed that taurine is of high physiological importance: it protects against pathologies associated with mitochondrial diseases, and linked processes like aging, metabolic syndrome, cancer, cardiovascular diseases, and neurological disorders. It is also used as a nutritional supplement. Taurine and the Mitochondrion: Applications in the Pharmacotherapy of Human Diseases explores the significance of taurine in the biology of mitochondria. It also explains its role as a pharmacological agent for treating different diseases. Readers will gain an insight into the crucial role it plays in human physiology and the benefits of taurine supplements. Topics covered in this reference include Synthesis of taurine and its dietary sources The Role of taurine in mitochondrial health Taurine as a neurotransmitter Beneficial effects of taurine in physiological systems such as the reproductive system, renal system, and the gastrointestinal tract Hepatoprotective and antiinflammatory properties of taurine The antiaging promise of taurine supplementation Role of taurine supplementation in obesity

Brain Diseases—Advances in Research and Application: 2012 Edition

Author:

Publisher: ScholarlyEditions

Published: 2012-12-26

Total Pages: 1004

ISBN-13: 146499109X

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Brain Diseases—Advances in Research and Application: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Brain Diseases. The editors have built Brain Diseases—Advances in Research and Application: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Brain Diseases in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Brain Diseases—Advances in Research and Application: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Book Synopsis Brain Diseases—Advances in Research and Application: 2012 Edition by :

Download or read book Brain Diseases—Advances in Research and Application: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2012-12-26 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brain Diseases—Advances in Research and Application: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Brain Diseases. The editors have built Brain Diseases—Advances in Research and Application: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Brain Diseases in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Brain Diseases—Advances in Research and Application: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Fieldbus Systems and Their Applications 2005

Author: Miguel Leon Chavez

Publisher: Elsevier

Published: 2006-11-23

Total Pages: 283

ISBN-13: 0080467636

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The FeT series – Fieldbus Systems and their Applications Conferences started in 1995 in Vienna, Austria. Since FeT'2001 in Nancy, France, the conference became an IFAC – International Federation of Automatic Control sponsored event. These proceedings focus on 13 sessions, covering, fieldbus based systems, services, protocols and profiles, system integration with heterogeneous networks, management, real-time, safety, dependability and security, distributed embedded systems, wireless networking for field applications, education and emerging trends. Two keynote speeches from experts outside Europe are featured. The first one entitled "Bandwidth Allocation Scheme in Fieldbuses" by Prof. Seung Ho, Hanyang University, Korea. The second by, Prof. I.F. Akyildiz, Georgia Institute of Technology, USA, "Key Technologies for Wireless Networking in the Next Decade". Featuring 36 high quality papers from 13 countries Keynote speech reflecting the current interest of wireless communications for industrial applications FeT'2005 was supported by a International Program Committee of around 40 members from 15 countries, 6 from Europe

Book Synopsis Fieldbus Systems and Their Applications 2005 by : Miguel Leon Chavez

Download or read book Fieldbus Systems and Their Applications 2005 written by Miguel Leon Chavez and published by Elsevier. This book was released on 2006-11-23 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The FeT series – Fieldbus Systems and their Applications Conferences started in 1995 in Vienna, Austria. Since FeT'2001 in Nancy, France, the conference became an IFAC – International Federation of Automatic Control sponsored event. These proceedings focus on 13 sessions, covering, fieldbus based systems, services, protocols and profiles, system integration with heterogeneous networks, management, real-time, safety, dependability and security, distributed embedded systems, wireless networking for field applications, education and emerging trends. Two keynote speeches from experts outside Europe are featured. The first one entitled "Bandwidth Allocation Scheme in Fieldbuses" by Prof. Seung Ho, Hanyang University, Korea. The second by, Prof. I.F. Akyildiz, Georgia Institute of Technology, USA, "Key Technologies for Wireless Networking in the Next Decade". Featuring 36 high quality papers from 13 countries Keynote speech reflecting the current interest of wireless communications for industrial applications FeT'2005 was supported by a International Program Committee of around 40 members from 15 countries, 6 from Europe

Advances in Harmonic Analysis and Operator Theory

Author: Alexandre Almeida

Publisher: Springer Science & Business Media

Published: 2013-01-31

Total Pages: 389

ISBN-13: 3034805160

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This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.

Book Synopsis Advances in Harmonic Analysis and Operator Theory by : Alexandre Almeida

Download or read book Advances in Harmonic Analysis and Operator Theory written by Alexandre Almeida and published by Springer Science & Business Media. This book was released on 2013-01-31 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.